congruent
Definition
- Adjective:
- Coinciding when superimposed: Having exactly the same shape and size; if one figure can be placed exactly over another through a sequence of rigid motions (like rotation or reflection), they are congruent.
- Corresponding in character or kind: Being in agreement, harmony, or correspondence; compatible or consistent with something else.
Usage Examples
- Adjective (Geometry):
- The two triangles are congruent. (They are identical in shape and size.)
- We proved the angles were congruent. (We proved the angles had the same measure.)
- Adjective (General Agreement):
- His actions were not congruent with his words. (His actions did not match or agree with what he said.)
- The policy must be congruent with our core values. (The policy must be consistent with our fundamental beliefs.)
Advanced Usage
- "Congruent to" (Mathematics): Used to show equivalence in geometry or modular arithmetic.
- Triangle ABC is congruent to triangle DEF. (Triangle ABC is identical to triangle DEF.)
- 17 is congruent to 5 modulo 6. (17 and 5 have the same remainder when divided by 6.)
- "Congruent with": Used to indicate harmony or agreement in non-mathematical contexts.
- A leader's behavior should be congruent with the organization's mission. (A leader's behavior should align with the organization's mission.)
Variants and Related Words
- Congruence (noun): The quality or state of agreeing, coinciding, or being congruent.
- There is a congruence between her public and private life.
- Congruently (adverb): In a congruent manner.
- The shapes fit together congruently.
Synonyms
- Identical: Exactly the same.
- Coincident: Occupying the same space or time.
- Consistent: In agreement; not contradictory.
- Compatible: Able to exist or work together without conflict.
- Harmonious: Forming a pleasing or consistent whole.
Antonyms
- Incongruent: Not congruent.
- Different: Not the same.
- Inconsistent: Not staying the same throughout; containing parts that disagree.
- Incompatible: Incapable of existing or working together in harmony.
Related Idioms and Phrases
- "In congruence with": In agreement or harmony with.
- The new design is in congruence with modern trends.
- "A lack of congruence": A state of disagreement or inconsistency.
- The scandal revealed a lack of congruence between the company's image and its practices.
Adjective
-
coinciding when superimposed
-
corresponding in character or kind
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